Calculate the distance between the points G=(-9, 8) and H=(-2, 2) in the coordinate plane.
Give an exact answer (not a decimal approximation).
10+
8
Distance: 0
+
-10-8
-6
-4
- 2
2
6
8
10
-S
-10

Answer:

[tex]P(E \cup F)=P(E)+P(F)[/tex].

Step-by-step explanation:

Given the statement

If [tex]P(E)+P(F)=P(E \cup F)+P(E \cap F)[/tex], then E and F are mutually exclusive events.

If two events are mutually exclusive, they have no elements in common. Thus, P(E∩F)=0.

Therefore, the statement is always true as P(E∩F)=0

For mutually exclusive events:

[tex]P(E \cup F)=P(E)+P(F)[/tex].

Answer: x=(7√6)/2

Step-by-step explanation:

To find x, we would have to find the hypotenuse of the 45-45-90 triangle. First, we would have to find the hypotenuse by using the 30-60-90 triangle on top to find it.

For a 30-60-90 triangle, the hypotenuse is 2x in length. the x is the same in all sides. All you would have to do is to plug it in. The leg opposite of 60° is x√3 in length. the leg opposite of 30° is x in length.

Since we know that 7 is opposite of the 30° angle, we know that x is 7. Across fron 60° is the hypotenuse of the 45-45-90 triangle. That leg is x√3. We plug in x=7 and get 7√3.

The hypotenuse of the 45-45-90 triangle is x√2 and the legs are both x. We can set 7√3 equal to x√2 to find x of the missing side.

7√3=x√2           [divide both sides by √2]

x=(7√6)/2

Now, we know x=(7√6)/2.

Answer:

(x + 2)^2 + (y - 1)^2 = 25.

Step-by-step explanation:

The centre is at (-2, 1) so the equation is:

(x + 2)^2 + (y - 1)^2  = r^2   where r is the radius.

The radius is the distance from the centre to the point (-5, -3).

Using the distance formula:

r = √ [(-3- 1)^2 + (-5 - -2)^2]

and r^2 = (-3- 1)^2 + (-5 - -2)^2

= (-4)^2 + (-3)^2

= 16 + 9

= 25.

Answer:

25 students

Step-by-step explanation:

Using the line of best fit, we want to deduce the number of students predicted to be in the marching band given that there are 35 in the concert band.

To deduce this, what we need to do is to go to the point where we have 35 on the concert band axis i.e the x-axis, then trace it upto the line of best fit.

Then from the line of best fit, now trace to the y-axis.

This gives an answer 25.

Answer:

biased

Step-by-step explanation:

on my quiz good luck

The survey is biased because a biased sample favors one or more segments of the population over others.

A survey is a means of gathering information from a sample of people using pertinent questions with the goal of understanding populations as a whole.

We have:

You want to know whether the students in your school enjoy the school lunch.

As we know,

A biased sample favors one or more segments of the population over others, whereas an impartial sample gives everyone in the population an equal chance of being chosen.

The population is the collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it

Thus, the survey is biased because a biased sample favors one or more segments of the population over others.

Learn more about the survey here:

brainly.com/question/17373064

#SPJ5

Answer:

y intercept is -4 and the slope is 2. You can figure it out from there. Just make a graph

Step-by-step explanation:

Answer:

1m = 100 cm

First sprinter stride is 120 cm. Steps he will take

= 100/1.2 = 83 1/3 steps

Second sprinter takes a stride of 75 cm

= 100/0.75 = 133 1/3 steps

Answer:

4/21

Step-by-step explanation:

It should be a porpotion

Answer:

look below:

Step-by-step explanation:

Answer: See attachment - hopeful it helps -  

I will update post once I get it back --

Step-by-step explanation: Kindly give me brainly :)

Answer:

2x3 + 6x2

Step-by-step explanation:

Answer:

A on edge

Step-by-step explanation:

Answer:

d it is what it is my man's

Answer:

(a) 0.635

(b) 0.498

Step-by-step explanation:

(a) The probability distribution is calculated using the cumulative distribution function of the Poisson as follows;

CDF  = [tex]F(x)=e^{-\lambda t}\sum_{i = 0}^{\left | x \right |}\dfrac{\lambda t^{i}}{i!}[/tex]

For x = three we have;

CDF = 0.781

For x = one we have;

CDF = 0.1465

Therefore, the probability that between one and three inclusive = 0.781 - 0.1465 = 0.635

(b) For x = 2 we have;

CDF = 0.4395

For x = one we have;

CDF = 0.9378

Therefore, the probability that between one and three inclusive = 0.9378- 0.4395= 0.498

Answer:

p - 120.00 = 56.74; p = $176.74.

Step-by-step explanation:

Out of the two equations, p - 120.00 = 56.74 would make the most sense. That is because it means that his paycheck minus the 120 that he deposited into savings is equal to the remaining balance.

We solve p - 120.00 = 56.74 by adding 120 to both sides.

p - 120 + 120 = 56.74 + 120

p = 176.74.

So, Zack got paid $176.74. That's a lot of money!

Hope this helps!

Answer:

3.53 inch

Step-by-step explanation:

area = 1/8 π r² with r=3 inch (half diameter)

= 9/8 π ≈ 3.534 inch²

Answer:

2.53 in,3.53 in

i hope this helps sorry if it doesn't

Answer:

(0,0)

Step-by-step explanation:

x = -⅛y²

The equation exchanges x and y, so this is a sideways parabola.

It opens to the left because the coefficient of y² is negative.

The vertex form of a sideways parabola with its vertex at (h, k) is:

x =  a(y – k)² + h

Your equation is

x = -⅛(y - 0)² + 0

By comparing the two equations, we find that

h = 0; k = 0.

The vertex is at (0, 0).  

The Figure shows your parabola with its vertex at (0,0).

Answer:

(0,0)

Step-by-step explanation:

Answer:

C. [tex] AB = 5\frac{5}{7} [/tex]

Step-by-step explanation:

When two polygons are considered similar, the ratio of their corresponding sides would also be equal.

Since ∆ABC and ∆ADE are similar, [tex] \frac{AE}{AC} = \frac{AD}{AB} [/tex]

[tex] \frac{7}{4} = \frac{10}{AB} [/tex]

Cross multiply

[tex] 7*AB = 10*4 [/tex]

[tex] 7*AB = 40 [/tex]

Divide both sides by 7 to find AB

[tex] \frac{7*AB}{7} = \frac{40}{7} [/tex]

[tex] AB = \frac{40}{7} [/tex]

[tex] AB = 5\frac{5}{7} [/tex]

Answer:

11.7046999

Step-by-step explanation:

using the distance formula (d=√(x₂ -x₁)² + (y₂-y₁)²), we can plug in the two points to find the distance between them:

d=√(6-(-5)² + (0-4)²

d=√(11)²+ (-4)²

d=√121+16

d=√137

d approximately equal to (≈) 11.7046999 or 11.7 or 11

Answer:

x = 7.5

Step-by-step explanation:

Answer:

Percent of water in the mixture=88%

Which is 81.07 square inches of the total volume

Step-by-step explanation:

Volume of the flask=πr^2h

π=3.142

radius=diameter/2

=3.71/2

=1.855

height=8.52 inches

Volume of the flask=πr^2h

=3.142*(1.855)^2*8.52

=3.142*3.441025*8.52

=92.115688686

Approximately 92.12 square inches

Flask contains 12% acid solution and the remaining volume is water

Percentage of water =Total percentage - acid solution percentage

=100%-12%

=88%

Percentage of Water =88%

Percentage of the mixture by volume is water=88% of the total volume

=88/100*92.12

=81.0656 square inches

Approximately 81.07 square inches

Answer:

aₙ= 6n+1

Step-by-step explanation:

7,13,19,25,31

Given, AP with the first term of 7, and common difference of 6

Nth term:

[tex]\text{Solve:}\\\\(f + g)(x)\\\\6x^2+3x+1+2x^2-9\\\\8x^2+3x+1-9\\\\\boxed{8x^2+3x-8}[/tex]

Answer:

B. 40

Step-by-step explanation:

She starts with 46 and sells half of them

That leaves her with 23 stamps left.

She then buys 17 more, 23 + 17 is 40

Answer is B

Answer:

B. 40 stamps

Step-by-step explanation:

We know that she sold half of her stamps. She started with 46 stamps.

First, find 1/2 of 46.

Multiply 1/2 and 46, or divide 46 by 2.

1/2 *46= 23

46/2=23

She sold 23 stamps, and was left with 23 stamps.

Then, she bought 17 more. If she bought more, she added to the amount she already had.

Therefore, we can add 23 and 17.

23+17=40

She has 40 stamps now.

Answer:

so x=3

Step-by-step explanation:

-28=7(x-7)

opening the brackets by multiplying

-28=7x-49

adding 49 on both sides

-28+49=7x-49+49

21=7x

dividing 7 on both sides

21/7=7x/7

x=3

i hope this will help you :)

Answer:

-28=7(x-7)

First expand the terms on the right side

That is

-28 = 7x - 49

Group like terms

7x = -28 + 49

7x = 21

Divide both sides by 7

7x/7 = 21 /7

x = 3

Hope this helps

Answer:

103 pledges

Step-by-step explanation:

The equation we have here is;

C = 8n + 25

Now we need to find n given that c is $850

simply substitute for the value of c in the question

850 = 8n + 25

850-25 = 8n

825 = 8n

n = 825/8

n = 103.125

But since a pledge cannot be fractional, we can say that n = 103

Answer:

not possible

Step-by-step explanation:

The Law of Detachment is:

If p, then q. p is true. We can then conclude q is true.

For example:

If it rains, the grass gets wet. It is raining. Then the grass is wet.

In the problem in this post, it is not possible to use the Law of Detachment because we have:

If p then q. q is true. We are not told p is true, so we cannot conclude q is true.

Answer: not possible

Answer: y-2=1/4(x-1)

Step-by-step explanation:

The formula for point-slope is y-y₁=m(x-x₁). Since we are given the slope m, we can fill that in. We are also given the point (x₁,y₁). We can also fill that in.

y-2=1/4(x-1)

Answer:

4

Step-by-step explanation:

1-(-3)=4

rise is 4

Answer:

It is 4 units. You can count how many units the bottom (horizontally) of the blue triangle is to get the run.

Given that a vehicle travels 25 miles in 2 hours, determine the average speed of the vehicle in miles per hour.

Work:

In order to find the average mph of the vehicle, you have to divide the distance the vehicle travels in a certain period of time by that amount of time.

So, in this case, the vehicle traveled 25 miles in 2 hours, so you would divide 25 by 2.

25/2 = 12.5

That means, the vehicle is traveling at a speed of 12.5 mph.

Thus, the average speed of the vehicle is 12.5 miles per hour (mph).

Answer:

1

Step-by-step explanation:

Change 1/2 to 0.5.  Then, do the problem of 0.75-0.25+0.5.

Step-by-step explanation:

is your answer mate ......